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Finding the Fourth Proportional to 959.75, 1,324.41 and 566.90

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Solution

The fourth proportional to 959.75, 1,324.41 and 566.90 is: 782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.75 : 1,324.41 = 566.90 : x
  2. Step 2: Convert to fraction form
    959.75/1,324.41 = 566.90/x
  3. Step 3: Cross multiply
    959.75x = 1,324.41 × 566.90
  4. Step 4: Simplify right side
    959.75x = 750,801.41
  5. Step 5: Solve for x
    x = 750,801.41/959.75
  6. Step 6: Final answer
    x = 782.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.